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Finding the Fourth Proportional to 14,285.78, 21,430.07 and 4,924.56

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Solution

The fourth proportional to 14,285.78, 21,430.07 and 4,924.56 is: 7,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.78 : 21,430.07 = 4,924.56 : x
  2. Step 2: Convert to fraction form
    14,285.78/21,430.07 = 4,924.56/x
  3. Step 3: Cross multiply
    14,285.78x = 21,430.07 × 4,924.56
  4. Step 4: Simplify right side
    14,285.78x = 105,533,727.25
  5. Step 5: Solve for x
    x = 105,533,727.25/14,285.78
  6. Step 6: Final answer
    x = 7,387.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.